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On Ward's differential calculus, Riordan matrices and Sheffer polynomials

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Abstract We extend the pattern of behavior of some special sequences of polynomials, related to the usual derivative, to a larger context described by Ward in [44] . We also… Click to show full abstract

Abstract We extend the pattern of behavior of some special sequences of polynomials, related to the usual derivative, to a larger context described by Ward in [44] . We also get some combinatorial properties of a family of matrices obtained by means of Ward's derivatives associated to the columns of Pascal's triangle.

Keywords: ward differential; calculus riordan; riordan matrices; sheffer polynomials; matrices sheffer; differential calculus

Journal Title: Linear Algebra and its Applications
Year Published: 2021

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